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Finding the Fourth Proportional to 10,692.78, 14,735.62 and 9,293.10

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Solution

The fourth proportional to 10,692.78, 14,735.62 and 9,293.10 is: 12,806.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.78 : 14,735.62 = 9,293.10 : x
  2. Step 2: Convert to fraction form
    10,692.78/14,735.62 = 9,293.10/x
  3. Step 3: Cross multiply
    10,692.78x = 14,735.62 × 9,293.10
  4. Step 4: Simplify right side
    10,692.78x = 136,939,590.22
  5. Step 5: Solve for x
    x = 136,939,590.22/10,692.78
  6. Step 6: Final answer
    x = 12,806.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.